The Game of Life,also known simply as Life,is a cellular automaton devised by the British mathematician John Horton Conway in 1970.The universe of the Game of Life is
an infinite two-dimensional orthogonal grid of square cells,each of which is in one
of two possible states,alive or dead.Every cell interacts with its eight
neighbors,which are the cells that are horizontally,vertically,or diagonally
adjacent.At each step in time,the following transitions occur:
(1)Any live cell with fewer than two live neighbors dies,as if caused by under-
population.
(2)Any live cell with two or three live neighbors lives on to the next generation.
(3)Any live cell with more than three live neighbors dies,as if by overcrowding.
(4)Any dead cell with exactly three live neighbors becomes a live cell,as if byreproduction.
The next picture gives an example.The live cell is the block with a black point in the figure,and the dead one is nothing in the block.
so,we can implement the Game Of Life idea in matlab code.
function [ m_evo ] = Game_Of_Life( matrix )
[d1 d2] = size(matrix);
m_evo = zeros(d1, d2);
for i=1:d1
for j=1:d2
num = count_neighbour(matrix, i, j);
if matrix(i,j) == 1
if num==2 || num==3
m_evo(i,j) = 1;
else
m_evo(i,j) = 0;
end
else
if num == 3
m_evo(i,j) = 1;
end
end
end
end
end
function [ num ] = count_neighbour( matrix, i, j )
nb = zeros(1, 8);
[d1 d2] = size(matrix);
if i==1 && j==1
nb(1) = matrix(1,2);
nb(2) = matrix(2,1);
nb(3) = matrix(2,2);
nb(4) = matrix(1,d2);
nb(5) = matrix(d1,1);
nb(6) = matrix(d1,d2);
nb(7) = matrix(2,d2);
nb(8) = matrix(d1,2);
elseif i==1 && j==d2
nb(1) = matrix(1,d2-1);
nb(2) = matrix(2,d2);
nb(3) = matrix(2,d2-1);
nb(4) = matrix(1,1);
nb(5) = matrix(d1,1);
nb(6) = matrix(d1,d2);
nb(7) = matrix(2,1);
nb(8) = matrix(d1,d2-1);
elseif i==d1 && j==d2
nb(1) = matrix(d1,d2-1);
nb(2) = matrix(d1-1,d2);
nb(3) = matrix(d1-1,d2-1);
nb(4) = matrix(1,1);
nb(5) = matrix(d1,1);
nb(6) = matrix(1,d2);
nb(7) = matrix(1,d2-1);
nb(8) = matrix(d1-1,1);
elseif i==d1 && j==1
nb(1) = matrix(d1,2);
nb(2) = matrix(d1-1,1);
nb(3) = matrix(d1-1,2);
nb(4) = matrix(1,1);
nb(5) = matrix(d1,d2);
nb(6) = matrix(1,d2);
nb(7) = matrix(1,2);
nb(8) = matrix(d1-1,d2);
elseif i==1
nb(1) = matrix(d1,j-1);
nb(2) = matrix(d1,j);
nb(3) = matrix(d1,j+1);
nb(4) = matrix(i,j-1);
nb(5) = matrix(i,j+1);
nb(6) = matrix(i+1,j-1);
nb(7) = matrix(i+1,j);
nb(8) = matrix(i+1,j+1);
elseif j==1
nb(1) = matrix(i-1,d2);
nb(2) = matrix(i-1,j);
nb(3) = matrix(i-1,j+1);
nb(4) = matrix(i,d2);
nb(5) = matrix(i,j+1);
nb(6) = matrix(i+1,d2);
nb(7) = matrix(i+1,j);
nb(8) = matrix(i+1,j+1);
elseif i==d1
nb(1) = matrix(i-1,j-1);
nb(2) = matrix(i-1,j);
nb(3) = matrix(i-1,j+1);
nb(4) = matrix(i,j-1);
nb(5) = matrix(i,j+1);
nb(6) = matrix(1,j-1);
nb(7) = matrix(1,j);
nb(8) = matrix(1,j+1);
elseif j==d2
nb(1) = matrix(i-1,j-1);
nb(2) = matrix(i-1,j);
nb(3) = matrix(i-1,1);
nb(4) = matrix(i,j-1);
nb(5) = matrix(i,1);
nb(6) = matrix(i+1,j-1);
nb(7) = matrix(i+1,j);
nb(8) = matrix(i+1,1);
else
nb(1) = matrix(i-1,j-1);
nb(2) = matrix(i-1,j);
nb(3) = matrix(i-1,j+1);
nb(4) = matrix(i,j-1);
nb(5) = matrix(i,j+1);
nb(6) = matrix(i+1,j-1);
nb(7) = matrix(i+1,j);
nb(8) = matrix(i+1,j+1);
end
num = length(find(nb==1));
end
【Game|Game Of Life】
